Information on Result #866957
Linear OOA(2782, 379, F27, 2, 38) (dual of [(379, 2), 676, 39]-NRT-code), using OOA 2-folding based on linear OA(2782, 758, F27, 38) (dual of [758, 676, 39]-code), using
- discarding factors / shortening the dual code based on linear OA(2782, 759, F27, 38) (dual of [759, 677, 39]-code), using
- construction XX applied to C1 = C([721,28]), C2 = C([3,30]), C3 = C1 + C2 = C([3,28]), and C∩ = C1 ∩ C2 = C([721,30]) [i] based on
- linear OA(2768, 728, F27, 36) (dual of [728, 660, 37]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,28}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(2755, 728, F27, 28) (dual of [728, 673, 29]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,30}, and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(2772, 728, F27, 38) (dual of [728, 656, 39]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {−7,−6,…,30}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(2751, 728, F27, 26) (dual of [728, 677, 27]-code), using the primitive BCH-code C(I) with length 728 = 272−1, defining interval I = {3,4,…,28}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(279, 26, F27, 9) (dual of [26, 17, 10]-code or 26-arc in PG(8,27)), using
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- Reed–Solomon code RS(18,27) [i]
- discarding factors / shortening the dual code based on linear OA(279, 27, F27, 9) (dual of [27, 18, 10]-code or 27-arc in PG(8,27)), using
- linear OA(271, 5, F27, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- Reed–Solomon code RS(26,27) [i]
- discarding factors / shortening the dual code based on linear OA(271, 27, F27, 1) (dual of [27, 26, 2]-code), using
- construction XX applied to C1 = C([721,28]), C2 = C([3,30]), C3 = C1 + C2 = C([3,28]), and C∩ = C1 ∩ C2 = C([721,30]) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.